Least Common Multiple of 3517 and 3518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 3517 and 3518 the smallest integer that is 12372806 that is divisible by both numbers.

Least Common Multiple (LCM) of 3517 and 3518 is 12372806.

LCM(3517,3518) = 12372806

LCM of 3517 and 3518

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 3517 and 3518

LCM of 3517 and 3518 is 12372806

Least common multiple can be found by multiplying the highest exponent prime factors of 3517 and 3518. First we will calculate the prime factors of 3517 and 3518.

Prime Factorization of 3517


3517 3517
1

Prime factors of 3517 are 3517. Prime factorization of 3517 in exponential form is:

3517 = 35171

Prime Factorization of 3518


2 3518
1759 1759
1

Prime factors of 3518 are 2,1759. Prime factorization of 3518 in exponential form is:

3518 = 21×17591

Now multiplying the highest exponent prime factors to calculate the LCM of 3517 and 3518.

LCM(3517,3518) = 21×17591×35171
LCM(3517,3518) = 12372806

Factors of 3517

List of positive integer factors of 3517 that divides 3517 without a remainder.

1, 3517

Factors of 3518

List of positive integer factors of 3518 that divides 3518 without a remainder.

1, 2, 1759, 3518

Least Common Multiple of 3517 and 3518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3517 and 3518, than apply into the LCM equation.

GCF(3517,3518) = 1
LCM(3517,3518) = ( 3517 × 3518) / 1
LCM(3517,3518) = 12372806 / 1
LCM(3517,3518) = 12372806

Properties of LCM 3517 and 3518

(i) The LCM of 3518 and 3517 is associative

LCM of 3517 and 3518 = LCM of 3518 and 3517

Related Least Common Multiples of 3517

Related Least Common Multiples of 3518

Frequently Asked Questions on LCM of 3517 and 3518

1. What is the LCM of 3517 and 3518?

Answer: LCM of 3517 and 3518 is 12372806.

2. What are the Factors of 3517?

Answer: Factors of 3517 are 1, 3517. There are 2 integers that are factors of 3517. The greatest factor of 3517 is 3517.

3. What are the Factors of 3518?

Answer: Factors of 3518 are 1, 2, 1759, 3518. There are 4 integers that are factors of 3518. The greatest factor of 3518 is 3518.

4. How to Find the LCM of 3517 and 3518?

Answer:

Least Common Multiple of 3517 and 3518 = 12372806

Step 1: Find the prime factorization of 3517

3517 = 3517

Step 2: Find the prime factorization of 3518

3518 = 2 x 1759

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 12372806 = 2 x 1759 x 3517

Step 4: Therefore, the least common multiple of 3517 and 3518 is 12372806.